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Finding the Fourth Proportional to 38,576.88, 53,253.41 and 22,662.32

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Solution

The fourth proportional to 38,576.88, 53,253.41 and 22,662.32 is: 31,284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,576.88 : 53,253.41 = 22,662.32 : x
  2. Step 2: Convert to fraction form
    38,576.88/53,253.41 = 22,662.32/x
  3. Step 3: Cross multiply
    38,576.88x = 53,253.41 × 22,662.32
  4. Step 4: Simplify right side
    38,576.88x = 1,206,845,438.93
  5. Step 5: Solve for x
    x = 1,206,845,438.93/38,576.88
  6. Step 6: Final answer
    x = 31,284.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.